Optimality and duality for robust multiobjective optimization problems

This paper deals with a robust multiobjective optimization problem involving nonsmooth/nonconvex real-valued functions. We establish necessary/sufficient optimality conditions for robust (weakly) Pareto solutions of the considered problem. These optimality conditions are presented in terms of multipliers and limiting subdifferentials of the related functions. In addition, we address a dual (robust) multiobjective problem to the primal one, and explore weak/strong duality relations between them under assumptions of (strictly) generalized convexity.